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  2. Graph operations - Wikipedia

    en.wikipedia.org/wiki/Graph_operations

    graph product based on other products: rooted graph product : it is an associative operation (for unlabelled but rooted graphs), corona graph product : it is a non-commutative operation; [ 4 ]

  3. Graph product - Wikipedia

    en.wikipedia.org/wiki/Graph_product

    In graph theory, a graph product is a binary operation on graphs. Specifically, it is an operation that takes two graphs G 1 and G 2 and produces a graph H with the following properties: The vertex set of H is the Cartesian product V(G 1) × V(G 2), where V(G 1) and V(G 2) are the vertex sets of G 1 and G 2, respectively.

  4. Corona - Wikipedia

    en.wikipedia.org/wiki/Corona

    Corona (from the Latin for 'crown') most commonly refers to: ... Corona algebra (or corona) of a C*-algebra; Corona graph product, a kind of binary operation on two ...

  5. Rooted product of graphs - Wikipedia

    en.wikipedia.org/wiki/Rooted_product_of_graphs

    These graphs can be used to generate examples in which the bound of Vizing's conjecture, an unproven inequality between the domination number of the graphs in a different graph product, the cartesian product of graphs, is exactly met (Fink et al. 1985). They are also well-covered graphs.

  6. Graph (discrete mathematics) - Wikipedia

    en.wikipedia.org/wiki/Graph_(discrete_mathematics)

    A graph with three vertices and three edges. A graph (sometimes called an undirected graph to distinguish it from a directed graph, or a simple graph to distinguish it from a multigraph) [4] [5] is a pair G = (V, E), where V is a set whose elements are called vertices (singular: vertex), and E is a set of unordered pairs {,} of vertices, whose elements are called edges (sometimes links or lines).

  7. Lexicographic product of graphs - Wikipedia

    en.wikipedia.org/.../Lexicographic_product_of_graphs

    The lexicographic product of graphs. In graph theory, the lexicographic product or (graph) composition G ∙ H of graphs G and H is a graph such that the vertex set of G ∙ H is the cartesian product V(G) × V(H); and; any two vertices (u,v) and (x,y) are adjacent in G ∙ H if and only if either u is adjacent to x in G or u = x and v is ...

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  9. BEST theorem - Wikipedia

    en.wikipedia.org/wiki/BEST_theorem

    In graph theory, a part of discrete mathematics, the BEST theorem gives a product formula for the number of Eulerian circuits in directed (oriented) graphs. The name is an acronym of the names of people who discovered it: N. G. de Bruijn, Tatyana Ehrenfest, Cedric Smith and W. T. Tutte.

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    corona product of graphs examples